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Finding the Fourth Proportional to 7,160.54, 9,881.86 and 4,175.96

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Solution

The fourth proportional to 7,160.54, 9,881.86 and 4,175.96 is: 5,763.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.54 : 9,881.86 = 4,175.96 : x
  2. Step 2: Convert to fraction form
    7,160.54/9,881.86 = 4,175.96/x
  3. Step 3: Cross multiply
    7,160.54x = 9,881.86 × 4,175.96
  4. Step 4: Simplify right side
    7,160.54x = 41,266,252.09
  5. Step 5: Solve for x
    x = 41,266,252.09/7,160.54
  6. Step 6: Final answer
    x = 5,763.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.